10728874046016 has 945 divisors, whose sum is σ = 37947788328681. Its totient is φ = 2988510142464.

The previous prime is 10728874045963. The next prime is 10728874046041. The reversal of 10728874046016 is 61064047882701.

The square root of 10728874046016 is 3275496.

It is a perfect power (a square), and thus also a powerful number.

10728874046016 is a `hidden beast` number, since 1 + 0 + 7 + 28 + 8 + 7 + 4 + 0 + 4 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4817673806400 + 5911200239616 = 2194920^2 + 2431296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 110606948880 + ... + 110606948976.

Almost surely, 2^{10728874046016} is an apocalyptic number.

10728874046016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10728874046016 is the 3275496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10728874046016

10728874046016 is an abundant number, since it is smaller than the sum of its proper divisors (27218914282665).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10728874046016 is an frugal number, since it uses more digits than its factorization.

10728874046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10728874046016 in words is "ten trillion, seven hundred twenty-eight billion, eight hundred seventy-four million, forty-six thousand, sixteen".